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## Section7.4Chapter 7 Exercises

1. Use the results of Election 1 as shown in the table to answer the questions below.

1. How many total voters were there?
2. True or False: a total of 26 voters preferred Candidate A over Candidate B.
3. Who is the plurality winner? Does that candidate have a majority?
2. Calculate the winner of Election 1 using the Borda count.
3. The table below shows presidential election results for Florida in 2000, between George W. Bush, Al Gore, and Green Party candidate Ralph Nader. The vote totals, given as percentages, are the real results. 6Simplified to exclude candidates with less than 1% of the vote. The voters' second and third choices are educated guesses based on what we know of voters' opinions during that election.

1. In this example, does a Condorcet candidate exist? If so, who is it?
2. What (if anything) does this election tell us about the plurality method and the Condorcet criterion?
4. Calculate the winner of Election 2 (shown below) using IRV.

5. The table below shows the ballots for Election 3. It is the same as Election 2, except that some voters changed their first place votes from A to C.

1. Calculate the winner of Election 3 using IRV.
2. Compare Election 2 and Election 3. Do these elections show IRV violating one of the fairness criteria? If so, which one, and why?